What is the Least Common Multiple of 31810 and 31814?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 31810 and 31814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31810 and 31814, than apply into the LCM equation.

GCF(31810,31814) = 2
LCM(31810,31814) = ( 31810 × 31814) / 2
LCM(31810,31814) = 1012003340 / 2
LCM(31810,31814) = 506001670

Least Common Multiple (LCM) of 31810 and 31814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31810 and 31814. First we will calculate the prime factors of 31810 and 31814.

Prime Factorization of 31810

Prime Factorization of 31814

Now multiplying the highest exponent prime factors to calculate the LCM of 31810 and 31814.

LCM(31810,31814) = 2¹ × 5¹ × 3181¹ × 15907¹
LCM(31810,31814) = 506001670